Band measurements and resampled estimates

CPU lab · synthetic measurement operators

What does your new sensor actually measure?

Compare known target-band truth with two estimates from source band averages. This runs numerical response integration on your device. It does not run DOFA, SpectralEarth or a trained adapter.

Choose a counterexample

Source FWHM 8nm · width of each source band Source centre spacing Target FWHM 80nm · same Gaussian assumption for both estimators Absorption feature σ 8nm · feature width, not sensor FWHM True target-centre shift 0nm · estimators still use nominal centres Source channels retained

Band measurements and resampled estimates

● Black: reference target□ Blue: response resampling× Orange: centre interpolation○ Grey: source bandsGrey line: synthetic truth

13 of 13 target bands pass the common-coverage check. Response-resampling MAE: 0.00011; centre-interpolation MAE: 0.02390 reflectance fraction. Both errors use the same retained bands.

Even sampling the exact underlying curve at nominal centres gives MAE 0.02553 on the same retained bands.

All signals are original analytic curves. Gaussian SRFs are assumed, truncated at ±4σ. Targets need ≥99.9% modeled response coverage; that threshold is a numerical choice, not confidence. No extrapolation or interpolation across missing source neighbours. Errors are absolute reflectance fractions, not classification scores.

Inspect all 13 target bands

Reference uses true target centres. Estimates use nominal centres. Blank source support is never filled with zero.
Nominal nm	True nm	Reference	Centre estimate	Response estimate	Coverage
2000	2000	0.43987	0.43697	0.43991	100.00%
2025	2025	0.43263	0.42310	0.43273	100.00%
2050	2050	0.43279	0.42249	0.43289	100.00%
2075	2075	0.44071	0.43640	0.44076	100.00%
2100	2100	0.45225	0.45534	0.45220	100.00%
2125	2125	0.45990	0.46969	0.45974	100.00%
2150	2150	0.45538	0.47719	0.45522	100.00%
2175	2175	0.43948	0.47714	0.43958	100.00%
2200	2200	0.43079	0.27939	0.43110	100.00%
2225	2225	0.44378	0.47976	0.44390	100.00%
2250	2250	0.46588	0.48400	0.46576	100.00%
2275	2275	0.47998	0.48500	0.47986	100.00%
2300	2300	0.48517	0.48600	0.48513	100.00%

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